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The distributive property involves both a multiplication and an addition.
To apply the distributive property to an algebraic expression, you multiply each term inside the parentheses by the number or variable outside the parentheses. For example, to simplify 2(x + 3), you would multiply 2 by both x and 3, resulting in 2x + 6.
The distributive property states that for any real numbers a, b, and c, a(b + c) = ab + ac. In this case, applying the distributive property to 20 + 32, we get 1(20) + 1(32) = 20 + 32. The greatest common factor (GCF) for 20 and 32 is 4, as 4 is the largest number that divides both 20 and 32 evenly without leaving a remainder.
The distributive property of multiplication states that when multiplying a number by a sum, you can distribute the multiplication across each term in the sum. In this case, 6x25 can be rewritten as 6x(20+5), where you distribute the 6 across both terms in the sum. This simplifies to 6x20 + 6x5, which equals 120 + 30, resulting in a final product of 150.
If you mean: 5(x-4) = 5x-20 then both expressions are equivalent
The distributive property involves both a multiplication and an addition.
according to commutative property both the distributive laws are equal why to use two distributive laws
The distributive property connects two different operations - for example, addition and multiplication. In this case:a(b+c) = ab + ac Here is an example with numbers: 7(10+2) = 7x10 + 7x2 If you were thinking about other combinations of operations, I suggest you try out a few examples, whether both sides are equal or not.
To apply the distributive property to an algebraic expression, you multiply each term inside the parentheses by the number or variable outside the parentheses. For example, to simplify 2(x + 3), you would multiply 2 by both x and 3, resulting in 2x + 6.
There can be no sensible answer to this question. A single number does not - and cannot - exhibit the distributive property.In mathematics, the distributive property refers to a property of one mathematical operation over another, described for the elements of a set. Typically, the two operations are multiplication and addition, and the relevant set consists of numbers. Furthermore, since both operations are binary, at least three elements [numbers] are required.
when you do distributive property you share whatever is outside the parentheses with what is inside. I'll give you an example: 4(7-6) step1:multiply 4 by 7-4 times 6 (you are sharing the number outside parenthese,4, with the number inside the parentheses,7 and 6. remember to bring down the symbol which is minus. step2: you should get 4*7-4*6. this is you answer. you can check this by... writing the oringinal problem and then write the answer. do order of operations and you should get the same answer on both sides. 4(7-6)=4*7-4*6 4 (1) =28- 24 4= 4 THAT IS CORRECT! you have just completed the distributive property.
Here is how to multiply using the distributive property:First, the equation: 9 (x + 3) = 35There must be parentheses for the distributive property, and a number outside those parentheses. The next step is to multiply 9 by x and 9 by 3 individually, and put an addition symbol in the middle.The second equation: 9x + 27 = 35Then, subtract 27: 9x = 18Divide by 9 on both sides: x = 2.That is how you multiply using the distributive property.
Distributive PropertyThe Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac". In numbers, this means, that 2(3 + 4) = 2×3 + 2×4. Any time they refer in a problem to using the Distributive Property, they want you to take something through the parentheses (or factor something out); any time a computation depends on multiplying through a parentheses (or factoring something out), they want you to say that the computation used the Distributive Property.Why is the following true? 2(x + y) = 2x + 2ySince they distributed through the parentheses, this is true by the Distributive Property.Use the Distributive Property to rearrange: 4x - 8The Distributive Property either takes something through a parentheses or else factors something out. Since there aren't any parentheses to go into, you must need to factor out of. Then the answer is "By the Distributive Property, 4x - 8 = 4(x - 2)""But wait!" you say. "The Distributive Property says multiplication distributes over addition, not subtraction! What gives?" You make a good point. This is one of those times when it's best to be flexible. You can either view the contents of the parentheses as the subtraction of a positive number ("x - 2") or else as the addition of a negative number ("x + (-2)"). In the latter case, it's easy to see that the Distributive Property applies, because you're still adding; you're just adding a negative.The other two properties come in two versions each: one for addition and the other for multiplication. (Note that the Distributive Property refers to both addition and multiplication, too, but to both within just one rule.)
First, I would find that the GCF of 20 and 16 is 4. Then, I would divide both 20 and 16 by 4. Last, I would use the distributive property to write the sum as 4(5 + 4).
The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac". In numbers, this means, that 2(3 + 4) = 2×3 + 2×4. Any time they refer in a problem to using the Distributive Property, they want you to take something through the parentheses (or factor something out); any time a computation depends on multiplying through a parentheses (or factoring something out), they want you to say that the computation used the Distributive Property."But wait!" you say. "The Distributive Property says multiplication distributes over addition, not subtraction! What gives?" You make a good point. This is one of those times when it's best to be flexible. You can either view the contents of the parentheses as the subtraction of a positive number ("x - 2") or else as the addition of a negative number ("x + (-2)"). In the latter case, it's easy to see that the Distributive Property applies, because you're still adding; you're just adding a negative.The other two properties come in two versions each: one for addition and the other for multiplication. (Note that the Distributive Property refers to both addition and multiplication, too, but to both within just one rule.)
The distributive property states that for any real numbers a, b, and c, a(b + c) = ab + ac. In this case, applying the distributive property to 20 + 32, we get 1(20) + 1(32) = 20 + 32. The greatest common factor (GCF) for 20 and 32 is 4, as 4 is the largest number that divides both 20 and 32 evenly without leaving a remainder.
Say the Question is 3(2y+5) Multiply both terms in the brackets by 3 so (3x2y)+(3x5) = 6y+15